131101303505004 has 36 divisors (see below), whose sum is σ = 378737099015184. Its totient is φ = 37457515287072.

The previous prime is 131101303504993. The next prime is 131101303505017. The reversal of 131101303505004 is 400505303101131.

It is a happy number.

131101303505004 is a `hidden beast` number, since 1 + 3 + 1 + 101 + 3 + 0 + 3 + 50 + 500 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×131101303505004² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260121633687 + ... + 260121634190.

It is an arithmetic number, because the mean of its divisors is an integer number (10520474972644).

Almost surely, 2^{131101303505004} is an apocalyptic number.

131101303505004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131101303505004 is an abundant number, since it is smaller than the sum of its proper divisors (247635795510180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131101303505004 is a wasteful number, since it uses less digits than its factorization.

131101303505004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520243267894 (or 520243267889 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 131101303505004 its reverse (400505303101131), we get a palindrome (531606606606135).

The spelling of 131101303505004 in words is "one hundred thirty-one trillion, one hundred one billion, three hundred three million, five hundred five thousand, four".